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Finding the Fourth Proportional to 213,134.78, 319,291.83 and 133,203.98

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Solution

The fourth proportional to 213,134.78, 319,291.83 and 133,203.98 is: 199,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134.78 : 319,291.83 = 133,203.98 : x
  2. Step 2: Convert to fraction form
    213,134.78/319,291.83 = 133,203.98/x
  3. Step 3: Cross multiply
    213,134.78x = 319,291.83 × 133,203.98
  4. Step 4: Simplify right side
    213,134.78x = 42,530,942,537.48
  5. Step 5: Solve for x
    x = 42,530,942,537.48/213,134.78
  6. Step 6: Final answer
    x = 199,549.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.